An arrangement for the dispensing of cleaning and/or lubricating media, which can be placed under pressure in a receptacle, as maintenance media to movable elements containing medical, and particularly dental handpieces. The maintenance medium is forced by means of a pressure drive out of a dispensing orifice of the receptacle through an inlet opening of the handpiece which is attached to the receptacle at the dispensing orifice and whereby, during the forcing of the maintenance medium into the movable elements of the handpiece, they are placeable into motion through a motion drive. The maintenance medium can be formed by liquid cleaning and/or lubricating media, for instance, such as oil. The arrangement of a separate power source, for the motion drive and for the pressure drive, in a simple and economical manner facilitates the motion drive as well as the pressure drive to be supplied with the required energy in a completely targeted manner by the current power source for a secure operation, so that neither the forcing out of the maintenance medium nor the action of the motion drive on the movable components of the handpiece are adversely influenced in any manner or could even be inhibited.